Kostiakov Equation Calculator

✖Local Parameter a determined from log (F) versus log (t) plot.ⓘ Local Parameter a [a]			+10% -10%
✖Time is an ongoing and continuous sequence of events that occur in succession, from the past through the present, and to the future. Here it is for rainfall.ⓘ Time [t]			+10% -10%
✖Local Parameter b determined from log (F) versus log (t) plot.ⓘ Local Parameter b [b]			+10% -10%

✖Cumulative Infiltration Capacity is calculated by subtracting the cumulative runoff from the cumulative rainfall.ⓘ Kostiakov Equation [F_p]

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Formula

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Kostiakov Equation

Formula

`"F"_{"p"} = "a"*"t"^"b"`

Example

`"20.08183cm/h"="3.55"*("2h")^"2.5"`

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Kostiakov Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cumulative Infiltration Capacity = Local Parameter a*Time^Local Parameter b
F_p = a*t^b
This formula uses 4 Variables

Variables Used

Cumulative Infiltration Capacity - (Measured in Centimeter per Hour) - Cumulative Infiltration Capacity is calculated by subtracting the cumulative runoff from the cumulative rainfall.
Local Parameter a - Local Parameter a determined from log (F) versus log (t) plot.
Time - (Measured in Hour) - Time is an ongoing and continuous sequence of events that occur in succession, from the past through the present, and to the future. Here it is for rainfall.
Local Parameter b - Local Parameter b determined from log (F) versus log (t) plot.

STEP 1: Convert Input(s) to Base Unit

Local Parameter a: 3.55 --> No Conversion Required
Time: 2 Hour --> 2 Hour No Conversion Required
Local Parameter b: 2.5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

F_p = a*t^b --> 3.55*2^2.5

Evaluating ... ...

F_p = 20.0818325856979

STEP 3: Convert Result to Output's Unit

5.57828682936054E-05 Meter per Second -->20.0818325856979 Centimeter per Hour (Check conversion here)

FINAL ANSWER

20.0818325856979 ≈ 20.08183 Centimeter per Hour <-- Cumulative Infiltration Capacity

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Abstractions from Precipitation » Modelling Infiltration Capacity » Infiltration Capacity Equation » Kostiakov Equation

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Coorg Institute of Technology (CIT), Coorg

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< 8 Infiltration Capacity Equation Calculators

Infiltration rate by Horton's equation

Go Infiltration Capacity at Any Time t = Final Steady State Infiltration Capacity+(Initial Infiltration Capacity-Final Steady State Infiltration Capacity)*exp(-(Decay Coefficient*Time))

Darcy's Hydraulic Conductivity given Infiltration Capacity from Philip's Equation

Go Hydraulic Conductivity = (Cumulative Infiltration Capacity-(Sorptivity*Time^(1/2)))/Time

Sorptivity for Cumulative Infiltration Capacity is from Philip's Equation

Go Sorptivity = (Cumulative Infiltration Capacity-Hydraulic Conductivity*Time)/(Time^(1/2))

Philip's Equation

Go Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time

Sorptivity given Infiltration Capacity

Go Sorptivity = ((Infiltration Capacity at Any Time t-Hydraulic Conductivity)*2)/(Time^(-1/2))

Equation for Infiltration Capacity

Go Infiltration Capacity at Any Time t = (1/2)*Sorptivity*Time^(-1/2)+Hydraulic Conductivity

Darcy's Hydraulic Conductivity given Infiltration Capacity

Go Hydraulic Conductivity = Infiltration Capacity at Any Time t-(1/2)*Sorptivity*Time^-1/2

Kostiakov Equation

Go Cumulative Infiltration Capacity = Local Parameter a*Time^Local Parameter b

Kostiakov Equation Formula

Cumulative Infiltration Capacity = Local Parameter a*Time^Local Parameter b
F_p = a*t^b

What is meant by Infiltration Capacity?

The Infiltration Capacity is defined as the maximum rate of infiltration. It is most often measured in meters per day but can also be measured in other units of distance over time if necessary. The infiltration capacity decreases as the soil moisture content of soils surface layers increases.

How to Calculate Kostiakov Equation?

Kostiakov Equation calculator uses Cumulative Infiltration Capacity = Local Parameter a*Time^Local Parameter b to calculate the Cumulative Infiltration Capacity, The Kostiakov Equation formula is defined as an equation proposed by Kostiakov to calculate Cumulative Infiltration Capacity using the parameters in the Kostiakov model determined from the log (F) versus log (t) plot. Cumulative Infiltration Capacity is denoted by F_p symbol.

How to calculate Kostiakov Equation using this online calculator? To use this online calculator for Kostiakov Equation, enter Local Parameter a (a), Time (t) & Local Parameter b (b) and hit the calculate button. Here is how the Kostiakov Equation calculation can be explained with given input values -> 7.2E+6 = 3.55*7200^2.5.

FAQ

What is Kostiakov Equation?

The Kostiakov Equation formula is defined as an equation proposed by Kostiakov to calculate Cumulative Infiltration Capacity using the parameters in the Kostiakov model determined from the log (F) versus log (t) plot and is represented as F_p = a*t^b or Cumulative Infiltration Capacity = Local Parameter a*Time^Local Parameter b. Local Parameter a determined from log (F) versus log (t) plot, Time is an ongoing and continuous sequence of events that occur in succession, from the past through the present, and to the future. Here it is for rainfall & Local Parameter b determined from log (F) versus log (t) plot.

How to calculate Kostiakov Equation?

The Kostiakov Equation formula is defined as an equation proposed by Kostiakov to calculate Cumulative Infiltration Capacity using the parameters in the Kostiakov model determined from the log (F) versus log (t) plot is calculated using Cumulative Infiltration Capacity = Local Parameter a*Time^Local Parameter b. To calculate Kostiakov Equation, you need Local Parameter a (a), Time (t) & Local Parameter b (b). With our tool, you need to enter the respective value for Local Parameter a, Time & Local Parameter b and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Cumulative Infiltration Capacity?

In this formula, Cumulative Infiltration Capacity uses Local Parameter a, Time & Local Parameter b. We can use 1 other way(s) to calculate the same, which is/are as follows -

Cumulative Infiltration Capacity = Sorptivity*Time^(1/2)+Hydraulic Conductivity*Time

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